The Devil's Dice solution!

At last! SEVEN years after the diabolical Devils Dice puzzle was first published in "Diabolical Brainbenders" here is the answer as requested by well over 1,000 emails!

First let's remind ourselves of the problem. Two dice are thrown. All twelve numbers on the dice are different, but some of them (e.g. 19 and 61) look the same!

After the first throw, the numbers on the bottom of the dice add to make 105.
After the second throw, the numbers on the bottom of the dice add to make 149.
Here's the last throw! What do the numbers on the bottom add to make?

You need to realise that the dice swap positions. If you call the dice A and B then for throw 1 they land AB, for throw 2 they land BA and for throw 3 they land AB.

Here are the nets of the dice with the only possible solution. The small underlines indicate the values of each number. The values of some numbers (e.g. 99 and 66) are undefined. The DEVILS DICE (c) Kjartan Poskitt 2002

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